Greatest Common Factor of 34208 and 34209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 34208, 34209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34208 and 34209 is 1.

GCF(34208,34209) = 1

GCF of 34208 and 34209

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 34208 and 34209

GCF of 34208 and 34209 is 1

Prime Factorization of 34208


2 34208
2 17104
2 8552
2 4276
2 2138
1069 1069
1

Prime factors of 34208 are 2,1069. Prime factorization of 34208 in exponential form is:

34208 = 25×10691

Prime Factorization of 34209


3 34209
3 11403
3 3801
7 1267
181 181
1

Prime factors of 34209 are 3,7,181. Prime factorization of 34209 in exponential form is:

34209 = 33×71×1811

∴ So by taking common prime factors GCF of 34208 and 34209 is 1

Greatest Common Factor of 34208 and 34209 by matching factors method

Factors of 34208

List of positive integer factors of 34208 that divides 34208 without a remainder.

1,2,4,8,16,32,1069,2138,4276,8552,17104,34208

Factors of 34209

List of positive integer factors of 34209 that divides 34209 without a remainder.

1,3,7,9,21,27,63,181,189,543,1267,1629,3801,4887,11403,34209

Greatest Common Factor

We found the factors and prime factorization of 34208 and 34209. The biggest common factor number is the GCF number.
So the greatest common factor 34208 and 34209 is 1.

Also check out the Least Common Multiple of 34208 and 34209

Properties of GCF 34208 and 34209

(i) The GCF of 34208 and 34209 is associative

GCF of 34208 and 34209 = GCF of 34209 and 34208

Related Greatest Common Factor of 34208

Related Greatest Common Factor of 34209

Frequently Asked Questions on GCF of 34208 and 34209

1. What is the GCF of 34208 and 34209?

Answer: GCF of 34208 and 34209 is 1.

2. What are the Factors of 34208?

Answer: Factors of 34208 are 1, 2, 4, 8, 16, 32, 1069, 2138, 4276, 8552, 17104, 34208. There are 12 integers that are factors of 34208. The greatest factor of 34208 is 34208.

3. What are the Factors of 34209?

Answer: Factors of 34209 are 1, 3, 7, 9, 21, 27, 63, 181, 189, 543, 1267, 1629, 3801, 4887, 11403, 34209. There are 16 integers that are factors of 34209. The greatest factor of 34209 is 34209.

4. How to Find the GCF of 34208 and 34209?

Answer:

Greatest Common Factor of 34208 and 34209 = 1

Step 1: Find the prime factorization of 34208

34208 = 2 x 2 x 2 x 2 x 2 x 1069

Step 2: Find the prime factorization of 34209

34209 = 3 x 3 x 3 x 7 x 181

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 34208 and 34209 is 1